期刊：
Chinese Control Conference,2019年2019-July:214-218 ISSN：1934-1768
作者机构：
[Yongxiang Chen; Zunhai Gao] School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan, 430048, China;[Jeffiey Forrest] School of Business, Slippery Rock University of Pennsylvania, Slippery Rock, PA, 16127, United States;[Zhuo Chen] School of Economics and Management, Wuhan Polytechnic University, Wuhan, 430048, China
会议名称：
2019 Chinese Control Conference (CCC)
会议时间：
July 2019
会议地点：
Guangzhou, China
会议论文集名称：
2019 Chinese Control Conference (CCC)
关键词：
model reduction;linear system;aggregation method;transfer function;optimization method
期刊：
IOP Conference Series: Materials Science and Engineering,2018年466(1):012045 ISSN：1757-8981
作者机构：
[Zunhai Gao] School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan, 430048, China;[Zhuo Chen] School of Economics and Management, Wuhan Polytechnic University, Wuhan, 430048, China
摘要：
The generalized Wonham controllable canonical form in multi-input systems is presented and applied to pole placement of state derivative feedback. A new direct algorithm is proposed. The multi-input system can be decomposed some single-input systems and for every single-input system the problem is easy to be resolved. The advantage of this algorithm is no need to compute the characteristic polynomial of the system. The theory and approach are introduced, and the general expression containing arbitrary parameter is obtained for the derivative feedback gain matrix of the multi-input system. An illustrative example is presented to show the proposed method.
作者机构：
[Gao, Zunhai; Ye, Xichen] Wuhan Polytech Univ, Sch Math & Comp, Wuhan 430023, Peoples R China.
通讯机构：
[Gao, Zunhai] W;Wuhan Polytech Univ, Sch Math & Comp, Wuhan 430023, Peoples R China.
会议名称：
International Conference on Materials and Products Manufacturing Technology
会议时间：
20120922-23
会议地点：
Guangzhou(CN)
会议主办单位：
[Gao, Zunhai;Ye, Xichen] Wuhan Polytech Univ, Sch Math & Comp, Wuhan 430023, Peoples R China.
会议论文集名称：
Advanced Designs and Researches for Manufacturing. Part 1
关键词：
Pole-placement;Multi-Input Linear Systems;State Feedback;State-derivative Feedback;Wonham Controllable Canonical Forms
摘要：
Generalized Wonham controllable canonical forms are introduced to apply to pole placement of state feedback or state derivative feedback. New methods of pole placement of both state feedback and state derivative feedback for multi-input system are proposed. The theory and approach are introduced, and the general expression gain matrices containing arbitrary parameter are obtained for both state feedback and state derivative feedback of the multi-input system.
摘要：
The generalized Wonham controllable canonical form in single-input systems is presented and applied to pole placement of state derivative feedback. A new direct algorithm is proposed. The advantage of this algorithm is no need to compute the characteristic polynomial of the system. The theory and approach are introduced, and the general expression is obtained for the derivative feedback gain matrix of the single-input system.
期刊：
PROCEEDINGS OF 2009 INTERNATIONAL CONFERENCE ON INFORMATION, ELECTRONIC AND COMPUTER SCIENCE, VOLS I AND II,2009年:399-402
通讯作者：
Gao, Zunhai
作者机构：
[Gao, Zunhai] Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430023, Peoples R China.
通讯机构：
[Gao, Zunhai] W;Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430023, Peoples R China.
会议名称：
2009 International Conference on Information,Electronic and Computer Science(2009 国际信息、电子与计算机工程学术会议)
会议时间：
2009-11-21
会议地点：
青岛
会议论文集名称：
2009 International Conference on Information,Electronic and Computer Science(2009 国际信息、电子与计算机工程学术会议)论文集
关键词：
model order-reduction;aggregation condition;generated Lyapunov equation
摘要：
A new condition for accurately aggregated model order-reduction of large-scale systems is presented,which can be used to determine whether the accurate order-reduction model exists for a given order or certain variable components previously assigned. The corresponding reduced-order model is also derived under the proposed existence condition.It is shown that,if the condition is not satisfied,an approximate model order-reduction can be carried out.Simulation results are shown to verify the validity and feasibility of this method.
摘要：
Infinite generalized block Hankel matrix is associated with controllability matrix and transfer function matrix of multi-input and multi-output linear system, the finite rank and decomposition of infinite generalized block Hankel matrix are discussed, it is obtained the necessary and sufficient condition of that infinite generalized block Hankel matrix has finite rank and that any infinite. generalized block Hankel matrix could be decomposed a product of two matrices, which are the infinite block observability matrix and the infinite block controllability matrix of the minimal realization system in its corresponding strictly proper rational fraction function matrix. In addition, the invertibility of finite block Hankel matrix is also discussed. A new method to study this class of matrices and their relative matrices is presented.
期刊：
ADVANCES IN MATRIX THEORY AND ITS APPLICATIONS, VOL 1: PROCEEDINGS OF THE EIGHTH INTERNATIONAL CONFERENCE ON MATRIX THEORY AND ITS APPLICATIONS,2008年:51-54
通讯作者：
Gao, Zunhai
作者机构：
[Gao, Zunhai; Zhao, Kai; Jiang, Qin] Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430023, Peoples R China.
通讯机构：
[Gao, Zunhai] W;Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430023, Peoples R China.
摘要：
A class of special matrices, examples of Hankel matrix, Toeplitz matrix and r-circulant matrix, are viewed as controllability matrices of linear systems. And their properties are discussed. The invertible condition and the algorithms for finding inverse matrices are obtained. A new method to study these special matrices is presented.
期刊：
DCABES 2004, Proceedings, Vols, 1 and 2,2004年:1084-1086
通讯作者：
Tong, XJ
作者机构：
[Tong, XJ; Gao, ZH; Yuan, ZY] Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430023, Peoples R China.
通讯机构：
[Tong, XJ] W;Wuhan Polytech Univ, Dept Math & Phys, Wuhan 430023, Peoples R China.
关键词：
fuzzy set;similarity measure;entropy
摘要：
It is well known that the similarity measure can be induced from entropy of fuzzy sets, we prove that this existing kind of similarity measure all satisfies the proposition, that is, the similarity measure of two fuzzy sets equals to that of their complementary sets. But the mutual subset hood does not content this proposition. We construct a new kind of similarity measure depending on entropy, and it doesn't meet this proposition.
